{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "e56e6d03-8862-4548-bb04-8e516413eecf",
   "metadata": {},
   "source": [
    "# Example Plots\n",
    "\n",
    "Some basic examples to extract and plot the data and Monte Carlo, as well as apply the systematic effects, are demonstrated here. \n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3b50927c-df5e-4674-b51f-bd36415e45e1",
   "metadata": {},
   "source": [
    "## Required Packages (Commonly available)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "96b9d5cb-3b1e-4422-a78f-8de253b7a61e",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import os\n",
    "import json\n",
    "from scipy.interpolate import interp2d"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cd733472-e754-4cf0-b2d9-2aa168c85059",
   "metadata": {},
   "source": [
    "## Define some global properties\n",
    "\n",
    "We'll use these throughout the example\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "c9332738-bd23-40ce-9f34-40819027aac7",
   "metadata": {},
   "outputs": [],
   "source": [
    "# bin edges for the energy binning\n",
    "energy_binedges = [499.99999999999994,\n",
    "                    629.4611936411585,\n",
    "                    792.4427886003042,\n",
    "                    997.6239672093516,\n",
    "                    1255.9311464092532,\n",
    "                    1581.1198370997542,\n",
    "                    1990.5071599010512,\n",
    "                    2505.8940256451765,\n",
    "                    3154.726089041722,\n",
    "                    3971.5552992382127,\n",
    "                    4999.879878540708,\n",
    "                    6294.46071281729,\n",
    "                    7924.237507234708,\n",
    "                    9975.999999999996]\n",
    "\n",
    "# bin edges for the cos(Zenith) binning\n",
    "zenith_binedges   = [-1.0,\n",
    "                    -0.95,\n",
    "                    -0.9,\n",
    "                    -0.85,\n",
    "                    -0.8,\n",
    "                    -0.75,\n",
    "                    -0.7,\n",
    "                    -0.6499999999999999,\n",
    "                    -0.6,\n",
    "                    -0.55,\n",
    "                    -0.5,\n",
    "                    -0.44999999999999996,\n",
    "                    -0.3999999999999999,\n",
    "                    -0.35,\n",
    "                    -0.29999999999999993,\n",
    "                    -0.25,\n",
    "                    -0.19999999999999996,\n",
    "                    -0.1499999999999999,\n",
    "                    -0.09999999999999998,\n",
    "                    -0.04999999999999993,\n",
    "                    0.0]"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ec45ae9b-1d86-47d0-a041-9e758c7cc894",
   "metadata": {},
   "source": [
    "## Plot data distributions\n",
    "\n",
    "The data file `data.dat` has 2 columns: \n",
    "- Energy (GeV)\n",
    "- Zenith (radians)\n",
    "\n",
    "### 1. Open the file"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "351caf6a-4c52-4d1a-9245-5fbf840d4f38",
   "metadata": {},
   "outputs": [],
   "source": [
    "# open the data \n",
    "combined_data = np.loadtxt('../data.dat')\n",
    "\n",
    "# get the ranges that are within our binning\n",
    "combined_data = combined_data[combined_data[:, 0] > energy_binedges[0]]\n",
    "combined_data = combined_data[combined_data[:, 0] < energy_binedges[-1]]\n",
    "\n",
    "combined_data = combined_data[np.cos(combined_data[:, 1]) > zenith_binedges[0]]\n",
    "combined_data = combined_data[np.cos(combined_data[:, 1]) < zenith_binedges[-1]]"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4506155c-e166-4ed7-ba54-19406bba3d92",
   "metadata": {},
   "source": [
    "### 2. Plot a 2-d histogram "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "d9e0574c-94ab-420e-bbb9-9e8722d67f87",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 800x600 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.subplots(figsize=(4, 3), dpi=200)\n",
    "\n",
    "x_data = np.cos(combined_data[:,1]) #cosZenith\n",
    "y_data = combined_data[:,0] # energy\n",
    "\n",
    "x_bin_edges = zenith_binedges \n",
    "y_bin_edges = energy_binedges\n",
    "\n",
    "hist_data, x_edges, y_edges = np.histogram2d(x_data, y_data, bins=[x_bin_edges, y_bin_edges])\n",
    "\n",
    "plt.pcolormesh(x_bin_edges, y_bin_edges, hist_data.T, cmap='Reds')\n",
    "\n",
    "plt.colorbar(label='counts')\n",
    "\n",
    "plt.xlabel('cos(theta)')\n",
    "plt.ylabel('energy / GeV')\n",
    "plt.yscale('log')\n",
    "plt.title('Data')\n",
    "\n",
    "#plt.savefig('data_2d.png', bbox_inches='tight',dpi=400)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e230f55d-55fe-45e3-bef6-9eaf1618d635",
   "metadata": {},
   "source": [
    "### 3. Plot 1-d histograms in energy and cos(Zenith)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "4abd7dbd-81d8-4765-9efe-690b230201b8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1600x600 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, (ax1,ax2) = plt.subplots(1,2, figsize=(8, 3), dpi=200)\n",
    "\n",
    "# Plot the histogram\n",
    "ax1.stairs(np.sum(hist_data,0), energy_binedges, edgecolor='red')\n",
    "ax1.set_xlabel('muon energy / GeV'); ax1.set_xscale('log'); ax1.set_xlim(energy_binedges[0], energy_binedges[-1])\n",
    "ax1.set_ylabel('counts'); ax1.set_yscale('log')\n",
    "\n",
    "# Plot the histogram\n",
    "ax2.stairs(np.sum(hist_data,1), zenith_binedges, edgecolor='red')\n",
    "ax2.set_xlabel('cos(Zenith)'); ax2.set_xlim(zenith_binedges[0], zenith_binedges[-1])\n",
    "ax2.set_ylabel('counts')\n",
    "\n",
    "total_entries=len(combined_data)\n",
    "\n",
    "ax1.text(0.95, 0.95, f'counts: {total_entries}',\n",
    "       transform=ax1.transAxes, # Use axis coordinate system\n",
    "       horizontalalignment='right', # Align to the right edge\n",
    "       verticalalignment='top', # Align to the top edge\n",
    "       fontsize=10, # Font size\n",
    "       bbox=dict(facecolor='white', alpha=0.5))\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()\n",
    "plt.close()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b70325bb-be91-4504-b9a3-cd8625d79ad0",
   "metadata": {},
   "source": [
    "## Plot and weight nominal MC distributions\n",
    "\n",
    "To obtain physical results, the MC will need to be weighted appropriately. The required weight components are as follows: \n",
    "- the \"oneweight\" weight (already included for each event in the MC file). These are in units of $\\text{GeV}\\:\\text{sr}\\:\\text{cm}^2$. This already takes into account the MC stats, detector response, etc.\n",
    "- the atmospheric fluxes, in units of $1/[\\text{GeV}\\:\\text{sr}\\:\\text{cm}^2\\:\\text{s}]$. Typically the fluxes will vary as a function of neutrino energy and cos(Zenith)\n",
    "- the detector livetime, which for this data is 7.6 years, or $239,673,600$ seconds\n",
    "\n",
    "These factors must be multipled together to obtain event-by-event physical weights. \n",
    "\n",
    "Note: the MC file is also much larger (~2.4 GB), so loading it will take a few minutes. "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2b511100-73c1-46f6-83f3-3cc92f5610d4",
   "metadata": {},
   "source": [
    "### 1. Open the file\n",
    "\n",
    "The MC file `monte_carlo.dat` has the following columns: \n",
    "- PDG ID number ($=\\pm 14$, muon flavor only)\n",
    "- reconstructed muon energy (GeV)\n",
    "- reconstructed muon cosZenith\n",
    "- True neutrino energy (GeV)\n",
    "- True neutrino cosZenith\n",
    "- oneweight"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "64c99d3d-f373-4b97-989f-f19d967bec4d",
   "metadata": {},
   "outputs": [],
   "source": [
    "# open the data \n",
    "combined_MC = np.loadtxt('../monte_carlo.dat')\n",
    "\n",
    "# get the ranges that are within our binning\n",
    "combined_MC = combined_MC[combined_MC[:, 1] > energy_binedges[0]]\n",
    "combined_MC = combined_MC[combined_MC[:, 1] < energy_binedges[-1]]\n",
    "\n",
    "combined_MC = combined_MC[combined_MC[:, 2] > zenith_binedges[0]]\n",
    "combined_MC = combined_MC[combined_MC[:, 2] < zenith_binedges[-1]]"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f1cefae4-cb47-4907-bbd7-e7f1b3bdcd93",
   "metadata": {},
   "source": [
    "### 2. Get separate arrays for neutrinos and antineutrinos, as the fluxes will be different"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "2df6de51-0081-4563-a25c-4dab3b410616",
   "metadata": {},
   "outputs": [],
   "source": [
    "combined_MC_NuMu = combined_MC[combined_MC[:, 0] == 14]\n",
    "combined_MC_NuMuBar = combined_MC[combined_MC[:, 0] == -14]\n",
    "combined_MC_chargeSorted = np.concatenate((combined_MC_NuMu,combined_MC_NuMuBar))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f92edfba-ba99-4f7d-9e31-8ed9f5e4b1e1",
   "metadata": {
    "tags": []
   },
   "source": [
    "### 3. Obtain atmospheric fluxes\n",
    "\n",
    "There is a script located at `../fluxes/` that obtains the fluxes, propagates them, and saves it to a numpy array, given your choice of atmospheric flux. Here, we will read and interpolate one such array."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "665c5dc2-6802-413e-8d71-c9ce7d14d4f4",
   "metadata": {
    "tags": []
   },
   "source": [
    "#### Helper functions to interpolate the propagated fluxes from `/fluxes`, and interpolate them to get the corresponding flux for each event based on true energy and cosZenith\n",
    "\n",
    "This method is simple but not very efficient. Consider optimizing this step if this is done often."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "3953fdbf-8e31-40cc-9ee7-f167b6802915",
   "metadata": {},
   "outputs": [],
   "source": [
    "# conventional atmospheric flux\n",
    "fluxfile = np.load('../fluxes/AtmMuFinalFluxatmospheric.npz')\n",
    "\n",
    "# Access the individual arrays\n",
    "cth_nodes = fluxfile['cth_nodes']\n",
    "energy_nodes = fluxfile['energy_nodes']\n",
    "atmflux = fluxfile['flux']\n",
    "\n",
    "atm_numu_flux = interp2d(np.log10(energy_nodes), cth_nodes, atmflux[0], kind='linear')\n",
    "atm_numubar_flux = interp2d(np.log10(energy_nodes), cth_nodes, atmflux[1], kind='linear')\n",
    "\n",
    "def atm_numu_flux_interp(energy, cth): \n",
    "    return atm_numu_flux(np.log10(energy), cth)\n",
    "def atm_numubar_flux_interp(energy, cth):\n",
    "    return atm_numubar_flux(np.log10(energy), cth)\n",
    "\n",
    "atm_numu_flux_interp = np.vectorize(atm_numu_flux_interp)\n",
    "atm_numubar_flux_interp = np.vectorize(atm_numubar_flux_interp)\n",
    "\n",
    "# do the interpolation\n",
    "NuMu_flux_conv = atm_numu_flux_interp(combined_MC_NuMu[:,3],combined_MC_NuMu[:,4])\n",
    "NuMuBar_flux_conv = atm_numubar_flux_interp(combined_MC_NuMuBar[:,3],combined_MC_NuMuBar[:,4])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "e2a9446e-5efb-45e1-9d1c-6190f0787156",
   "metadata": {},
   "outputs": [],
   "source": [
    "# prompt atmospheric flux\n",
    "fluxfile = np.load('../fluxes/AtmMuFinalFluxprompt_atmospheric.npz')\n",
    "\n",
    "# Access the individual arrays\n",
    "cth_nodes = fluxfile['cth_nodes']\n",
    "energy_nodes = fluxfile['energy_nodes']\n",
    "atmflux = fluxfile['flux']\n",
    "\n",
    "atm_numu_flux = interp2d(np.log10(energy_nodes), cth_nodes, atmflux[0], kind='linear')\n",
    "atm_numubar_flux = interp2d(np.log10(energy_nodes), cth_nodes, atmflux[1], kind='linear')\n",
    "\n",
    "def atm_numu_flux_interp(energy, cth): \n",
    "    return atm_numu_flux(np.log10(energy), cth)\n",
    "def atm_numubar_flux_interp(energy, cth):\n",
    "    return atm_numubar_flux(np.log10(energy), cth)\n",
    "\n",
    "atm_numu_flux_interp = np.vectorize(atm_numu_flux_interp)\n",
    "atm_numubar_flux_interp = np.vectorize(atm_numubar_flux_interp)\n",
    "\n",
    "# do the interpolation\n",
    "NuMu_flux_pr = atm_numu_flux_interp(combined_MC_NuMu[:,3],combined_MC_NuMu[:,4])\n",
    "NuMuBar_flux_pr = atm_numubar_flux_interp(combined_MC_NuMuBar[:,3],combined_MC_NuMuBar[:,4])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "89440f4f-fde3-4acd-9b9c-3b1c91d977d0",
   "metadata": {},
   "outputs": [],
   "source": [
    "# astrophysical flux\n",
    "fluxfile = np.load('../fluxes/AstroMuFinalFlux.npz')\n",
    "\n",
    "# Access the individual arrays\n",
    "cth_nodes = fluxfile['cth_nodes']\n",
    "energy_nodes = fluxfile['energy_nodes']\n",
    "astroflux = fluxfile['flux']\n",
    "\n",
    "astro_numu_flux = interp2d(np.log10(energy_nodes), cth_nodes, astroflux[0], kind='linear')\n",
    "astro_numubar_flux = interp2d(np.log10(energy_nodes), cth_nodes, astroflux[1], kind='linear')\n",
    "\n",
    "def astro_numu_flux_interp(energy, cth): \n",
    "    return astro_numu_flux(np.log10(energy), cth)\n",
    "def astro_numubar_flux_interp(energy, cth):\n",
    "    return astro_numubar_flux(np.log10(energy), cth)\n",
    "\n",
    "astro_numu_flux_interp = np.vectorize(astro_numu_flux_interp)\n",
    "astro_numubar_flux_interp = np.vectorize(astro_numubar_flux_interp)\n",
    "\n",
    "# do the interpolation\n",
    "NuMu_flux_astro = astro_numu_flux_interp(combined_MC_NuMu[:,3],combined_MC_NuMu[:,4])\n",
    "NuMuBar_flux_astro = astro_numubar_flux_interp(combined_MC_NuMuBar[:,3],combined_MC_NuMuBar[:,4])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "a9b4359b-0f1e-4953-a4eb-72fa34b93a0b",
   "metadata": {},
   "outputs": [],
   "source": [
    "NuMu_flux = NuMu_flux_conv + NuMu_flux_pr + NuMu_flux_astro\n",
    "NuMuBar_flux = NuMuBar_flux_conv + NuMuBar_flux_pr + NuMuBar_flux_astro"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2c4378ee-0f89-42c7-85fa-b0603af4730d",
   "metadata": {},
   "source": [
    "### 4. Apply the fluxes and livetime to obtain physical weights"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "27465108-1277-4641-bcab-b1e36354be24",
   "metadata": {},
   "outputs": [],
   "source": [
    "# the oneweight multiplied by the flux and 7.6 years livetime in seconds\n",
    "NuMu_totalWeight = combined_MC_NuMu[:,5] * NuMu_flux  * 239673600 \n",
    "NuMuBar_totalWeight = combined_MC_NuMuBar[:,5] * NuMuBar_flux  * 239673600\n",
    "\n",
    "totalWeights = np.concatenate((NuMu_totalWeight,NuMuBar_totalWeight))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6f8ed88b-8f5d-4da1-bf7b-5b604bd46e75",
   "metadata": {},
   "source": [
    "### 5. Plot a 2-d histogram"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "cd1181ec-293b-4eab-94d6-a4692d76b4e0",
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 800x600 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "weightarray = totalWeights\n",
    "\n",
    "fig = plt.subplots(figsize=(4, 3), dpi=200)\n",
    "\n",
    "x_data = combined_MC_chargeSorted[:,2] # cosZenith\n",
    "y_data = combined_MC_chargeSorted[:,1] # energy\n",
    "\n",
    "x_bin_edges = zenith_binedges \n",
    "y_bin_edges = energy_binedges\n",
    "\n",
    "hist_MC, x_edges, y_edges = np.histogram2d(x_data, y_data, weights=weightarray, bins=[x_bin_edges, y_bin_edges])\n",
    "\n",
    "plt.pcolormesh(x_bin_edges, y_bin_edges, hist_MC.T, cmap='Blues')\n",
    "\n",
    "plt.colorbar(label='counts')\n",
    "\n",
    "# Axis labels\n",
    "plt.xlabel('cos(theta)')\n",
    "plt.ylabel('energy / GeV')\n",
    "plt.yscale('log')\n",
    "plt.title('MC (unfitted)')\n",
    "\n",
    "#plt.savefig('MC_2d.png', bbox_inches='tight',dpi=400)\n",
    "\n",
    "# Show plot\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c9f23d34-389e-4898-be36-a4a30c7ca4f0",
   "metadata": {},
   "source": [
    "### 6. Plot 1-d histograms in energy and cosZenith"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "de20478f-1ae0-43d6-b7d1-85cd3e5af7f4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1600x600 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, (ax1,ax2) = plt.subplots(1,2, figsize=(8, 3), dpi=200)\n",
    "\n",
    "ax1.stairs(np.sum(hist_MC,0), energy_binedges, edgecolor='blue')\n",
    "ax1.set_xlabel('muon energy / GeV'); ax1.set_xscale('log'); ax1.set_xlim(energy_binedges[0], energy_binedges[-1])\n",
    "ax1.set_ylabel('counts'); ax1.set_yscale('log')\n",
    "\n",
    "# Plot the histogram\n",
    "ax2.stairs(np.sum(hist_MC,1), zenith_binedges, edgecolor='blue')\n",
    "ax2.set_xlabel('cos(Zenith)'); ax2.set_xlim(zenith_binedges[0], zenith_binedges[-1])\n",
    "ax2.set_ylabel('counts');\n",
    "\n",
    "total_entries=int(np.sum(weightarray))\n",
    "\n",
    "ax1.text(0.95, 0.95, f'counts: {total_entries}',\n",
    "       transform=ax1.transAxes, # Use axis coordinate system\n",
    "       horizontalalignment='right', # Align to the right edge\n",
    "       verticalalignment='top', # Align to the top edge\n",
    "       fontsize=10, # Font size\n",
    "       bbox=dict(facecolor='white', alpha=0.5))\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()\n",
    "plt.close()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9855075d-e893-4a28-ba15-6a4f912cca02",
   "metadata": {},
   "source": [
    "## Example plot: Comparison of data and nominal MC"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "7eb87ae6-f5ac-4629-949d-a479c04df72a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1600x600 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, (ax1,ax2) = plt.subplots(1,2, figsize=(8, 3), dpi=200)\n",
    "\n",
    "ax1.stairs(np.sum(hist_MC,0), energy_binedges, edgecolor='blue', label='MC (unfitted)')\n",
    "ax1.stairs(np.sum(hist_data,0), energy_binedges, edgecolor='red', label='data')\n",
    "ax1.set_xlabel('muon energy / GeV'); ax1.set_xscale('log'); ax1.set_xlim(energy_binedges[0], energy_binedges[-1])\n",
    "ax1.set_ylabel('counts'); ax1.set_yscale('log')\n",
    "\n",
    "# Plot the histogram\n",
    "ax2.stairs(np.sum(hist_MC,1), zenith_binedges, edgecolor='blue', label='MC (unfitted)')\n",
    "ax2.stairs(np.sum(hist_data,1), zenith_binedges, edgecolor='red', label='data')\n",
    "ax2.set_xlabel('cos(Zenith)'); ax2.set_xlim(zenith_binedges[0], zenith_binedges[-1])\n",
    "ax2.set_ylabel('counts');\n",
    "ax2.legend(loc='upper left')\n",
    "\n",
    "plt.tight_layout()\n",
    "#plt.savefig('data_MC.png', bbox_inches='tight',dpi=400)\n",
    "plt.show()\n",
    "plt.close()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "3b753d78-cf40-489f-9722-a6acfa10be44",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python [conda env:miniconda3-golem_env]",
   "language": "python",
   "name": "conda-env-miniconda3-golem_env-py"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.16"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
